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 A077116 n^3 - A065733(n). 23
 0, 0, 4, 2, 0, 4, 20, 19, 28, 0, 39, 35, 47, 81, 40, 11, 0, 13, 56, 135, 79, 45, 39, 67, 135, 0, 152, 83, 48, 53, 104, 207, 7, 216, 100, 26, 0, 28, 116, 270, 496, 277, 104, 546, 503, 524, 615, 139, 368, 0, 391, 155, 732, 652, 648, 726, 55, 293, 631, 170, 704 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) = 0 for n = m^2. - Zak Seidov, May 11 2007 It has been asked whether some primes do not occur in this sequence. It seems indeed that primes 3, 5, 17, 23, 29, 31, 37, 41, 43, 59, 61,... do not occur, primes 2, 7, 11, 13, 19, 47, 53, 67, 79, 83,... do. For further investigations, see A087285 = the range of this sequence, and also the related sequences A229618 = range of A181138, and A165288. - M. F. Hasler, Sep 26 2013 and Oct 05 2013 LINKS FORMULA a(n) = A154333(n) unless n is a square or, equivalently, a(n)=0. - M. F. Hasler, Oct 05 2013 a(n) = A053186(n^3). - R. J. Mathar, Jul 12 2016 EXAMPLE A065733(10) = 961 = 31^2 is the largest square less than or equal to 10^3 = 1000, therefore a(10) = 1000 - 961 = 39. MAPLE A077116 := proc(n)     A053186(n^3) ; end proc: # R. J. Mathar, Jul 12 2016 MATHEMATICA Table[c = n^3; c - Floor[Sqrt[c]]^2, {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Jun 02 2011 *) PROG (PARI) A077116(n)=n^3-sqrtint(n^3)^2 \\ - M. F. Hasler, Sep 26 2013 CROSSREFS Cf. A000578, A070929, A077118, A077119, A075847. Sequence in context: A021708 A016690 A136715 * A249507 A135730 A188595 Adjacent sequences:  A077113 A077114 A077115 * A077117 A077118 A077119 KEYWORD nonn,easy AUTHOR Reinhard Zumkeller, Oct 29 2002 STATUS approved

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